19613200224 has 96 divisors (see below), whose sum is σ = 54470465280. Its totient is φ = 6162089472.

The previous prime is 19613200223. The next prime is 19613200261. The reversal of 19613200224 is 42200231691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 19613200191 and 19613200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19613200223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332037 + ... + 386619.

It is an arithmetic number, because the mean of its divisors is an integer number (567400680).

Almost surely, 2^19613200224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19613200224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27235232640).

19613200224 is an abundant number, since it is smaller than the sum of its proper divisors (34857265056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19613200224 is a wasteful number, since it uses less digits than its factorization.

19613200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54812 (or 54804 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 19613200224 in words is "nineteen billion, six hundred thirteen million, two hundred thousand, two hundred twenty-four".